What is the answer to sqrt(3x+1)-sqrt(17-x)=2 ?

The answer to sqrt(3x+1)-sqrt(17-x)=2 is x=8

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sqrt(3x+1)-sqrt(17-x)=2

3 x + 1 - 17 - x = 2

x = 8

Solution steps

3 x + 1 - 17 - x = 2

Remove square roots

16 x^{2} - 160 x + 400 = 272 - 16 x

Solve

16 x^{2} - 160 x + 400 = 272 - 16 x : x = 8, x = 1

x = 8, x = 1

Verify Solutions:

x = 8

True

, x = 1

False

The solution is

x = 8

(3 x + 1)^{\frac{3}{2}} + 2 = 66

1 + u^{2} + u = 3

x + 3 + 2 = 8

x + 3 + 2 = 9

x - x + 14 = 6

What is the answer to sqrt(3x+1)-sqrt(17-x)=2 ?
The answer to sqrt(3x+1)-sqrt(17-x)=2 is x=8
Solve for x: sqrt(3x+1)-sqrt(17-x)=2
The solution is x=8